#### Answer

Two mutually exclusive events are events that cannot occur together. For example, suppose we toss a coin, the events head and tail cannot occur together. As another example, suppose one student is selected at random from a statistics class and the gender of the student is observed. This student can be a male or a female. These are two mutually exclusive events because these two events cannot happen together if only one student is selected.

#### Work Step by Step

The example for non mutually exclusive events:
1) Suppose one student is randomly selected from a school to observe whether the selected student is a math major, business major, or a double major in math and business.
2) Suppose we are rolling a die,
A= the first three number is observed ={1,2,3}
B= the last four number is observed = {3,4,5,6}
Since events A and B have one common element of {3}, therefore they are not mutually exclusive.